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Finding the Fourth Proportional to 205,367.40, 308,007.90 and 87,042.60

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Solution

The fourth proportional to 205,367.40, 308,007.90 and 87,042.60 is: 130,545.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,367.40 : 308,007.90 = 87,042.60 : x
  2. Step 2: Convert to fraction form
    205,367.40/308,007.90 = 87,042.60/x
  3. Step 3: Cross multiply
    205,367.40x = 308,007.90 × 87,042.60
  4. Step 4: Simplify right side
    205,367.40x = 26,809,808,436.54
  5. Step 5: Solve for x
    x = 26,809,808,436.54/205,367.40
  6. Step 6: Final answer
    x = 130,545.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.